activity
20082023
most citedOn minimum integer representations of weighted games

19 citations · 88 across the 9 of their papers we have counts for

collaborators

9 papers

math.CO2023

Nash's bargaining problem and the scale-invariant Hirsch citation index

Josep Freixas, Roger Hoerl, William S. Zwicker

A number of citation indices have been proposed for measuring and ranking the research publication records of scholars. Some of the best known indices, such as those proposed by Hi…

math.CO2017★ 8 cited

Bounds for the Nakamura number

Josep Freixas, Sascha Kurz

The Nakamura number is an appropriate invariant of a simple game to study the existence of social equilibria and the possibility of cycles. For symmetric quota games its number can…

cs.GT2016★ 16 cited

Characterization of threshold functions: state of the art, some new contributions and open problems

Josep Freixas, Marc Freixas, Sascha Kurz

This paper has a twofold scope. The first one is to clarify and put in evidence the isomorphic character of two theories developed in quite different fields: on one side, threshold…

cs.GT2014★ 13 cited

The cost of getting local monotonicity

Josep Freixas, Sascha Kurz

Manfred Holler introduced the Public Good index as a proposal to divide a public good among players. In its unnormalized version, i.e., the raw measure, it counts the number of tim…

math.CO2014★ 17 cited

The golden number and Fibonacci sequences in the design of voting structures

Josep Freixas, Sascha Kurz

Some distinguished types of voters, as vetoers, passers or nulls, as well as some others, play a significant role in voting systems because they are either the most powerful or the…

math.CO2013★ 10 cited

Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum

Josep Freixas, Sascha Kurz

This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with…

math.CO2011★ 19 cited

On minimum integer representations of weighted games

Josep Freixas, Sascha Kurz

We study minimum integer representations of weighted games, i.e., representations where the weights are integers and every other integer representation is at least as large in each…

math.CO2009

A Fibonacci sequence for linear structures with two types of components

Josep Freixas, Xavier Molinero, Salvador Roura

We investigate binary voting systems with two types of voters and a hierarchy among the members in each type, so that members in one class have more influence or importance than me…

cs.GT2008★ 5 cited

The Complexity of Testing Properties of Simple Games

Josep Freixas, Xavier Molinero, Martin Olsen +1

Simple games cover voting systems in which a single alternative, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set…